TL;DR
This paper develops a method to construct virtual fundamental classes for Artin stacks over Dedekind domains using perfect obstruction theories, advancing the intersection theory in algebraic geometry.
Contribution
It introduces a new construction of virtual fundamental classes for Artin stacks over Dedekind domains with perfect obstruction theories.
Findings
Established a framework for virtual classes on Artin stacks
Extended intersection theory tools to more general stacks
Provided foundational results for future geometric applications
Abstract
We construct virtual fundamental classes of Artin stacks over a Dedekind domain endowed with a perfect obstruction theory.
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